Respuesta :

Given equation:

[tex]\begin{gathered} (5^{\frac{x}{6}})(5^{\frac{x}{2}})\text{ = 5}^{16} \\ 5^{\frac{2x}{3}}\text{ = 5}^{16} \\ \frac{2x}{3}=16 \\ x\text{ = 24} \end{gathered}[/tex]

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